564344352 has 288 divisors, whose sum is σ = 1921885056. Its totient is φ = 154828800.

The previous prime is 564344323. The next prime is 564344411. The reversal of 564344352 is 253443465.

564344352 is a `hidden beast` number, since 5 + 643 + 4 + 4 + 3 + 5 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2923968 + ... + 2924160.

It is an arithmetic number, because the mean of its divisors is an integer number (6673212).

Almost surely, 2^564344352 is an apocalyptic number.

564344352 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 564344352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (960942528).

564344352 is an abundant number, since it is smaller than the sum of its proper divisors (1357540704).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

564344352 is a wasteful number, since it uses less digits than its factorization.

564344352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 304 (or 293 counting only the distinct ones).

The product of its digits is 172800, while the sum is 36.

The square root of 564344352 is about 23755.9329852565. The cubic root of 564344352 is about 826.3830377427.

The spelling of 564344352 in words is "five hundred sixty-four million, three hundred forty-four thousand, three hundred fifty-two".